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MOC
2010
15 years 1 months ago
Error bound between monotone difference schemes and their modified equations
It is widely believed that if monotone difference schemes are applied to the linear convection equation with discontinuous initial data, then solutions of the monotone schemes are ...
Zhen-Huan Teng
MOC
2010
15 years 1 months ago
Convergence analysis of the Jacobi spectral-collocation methods for Volterra integral equations with a weakly singular kernel
In this paper, a Jacobi-collocation spectral method is developed for Volterra integral equations of the second kind with a weakly singular kernel. We use some function transformati...
Yanping Chen, Tao Tang
MOC
2010
15 years 1 months ago
A new elasticity element made for enforcing weak stress symmetry
Abstract. We introduce a new mixed method for linear elasticity. The novelty is a simplicial element for the approximate stress. For every positive integer k, the row-wise divergen...
Bernardo Cockburn, Jayadeep Gopalakrishnan, Johnny...
MOC
2010
15 years 1 months ago
Approximation of stationary statistical properties of dissipative dynamical systems: Time discretization
We consider temporal approximation of stationary statistical properties of dissipative complex dynamical systems. We demonstrate that stationary statistical properties of the time...
Xiaoming Wang
MOC
2010
15 years 1 months ago
H(div) preconditioning for a mixed finite element formulation of the diffusion problem with random data
We study H(div) preconditioning for the saddle-point systems that arise in a stochastic Galerkin mixed formulation of the steady-state diffusion problem with random data. The key i...
Howard C. Elman, Darran G. Furnival, Catherine E. ...